Find the first term and the common different of an arithmetic progression if the sixth term is
25 and the sum of the six terms in the progression is 80.
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1 answer

a + 5d = 25 or a = 255d
sum(6) = 3(2a + 5d) = 80
6a + 15d = 80
6(255d) + 15d = 80
150  30d + 15d = 80
15d = 70
d = 70/15 = 14/3
then a = 25  5(14/3) = 5/3
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